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Differentiability at a point: algebraic (function isn't differentiable)

Differentiability at a point: algebraic (function isn't differentiable)

We examine a piecewise function to determine its differentiability and continuity at an edge point. Through analyzing left and right-hand limits, we find that the function is continuous at the point. However, due to differing slopes from the left and right, the function is not differentiable at the edge point.

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Differentiation Rules | Power Rule, Product Rule, Quotient Rule, Chain Rule | Derivative Basic Rules

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Differentiability at a point: graphical

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